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tiny-mole [99]
3 years ago
12

What is the measure of z? an z= [?

Mathematics
1 answer:
Gemiola [76]3 years ago
7 0

what to find

measure of z =1

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Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
natka813 [3]

Suppose that the height (in centimeters) of a candle is a linear function of

the amount of time (in hours) it has been burning.

Let x be the amount of time in hours

Let y be the heoght of a candle in centimeters

The two points are then as (9,24.5) and (23,17.5).

\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(9,\:24.5\right)\mathrm{,\:}\left(23,\:17.5\right)

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(9,\:24.5\right),\:\left(x_2,\:y_2\right)=\left(23,\:17.5\right)

m=\frac{17.5-24.5}{23-9}

m=-0.5

\mathrm{Plug\:the\:slope\:}-0.5\mathrm{\:into\:}y=mx+b

y=\left(-0.5\right)x+b

\mathrm{Plug\:in\:}\left(9,\:24.5\right)\mathrm{:\:}\quad \:x=9,\:y=24.5

24.5=\left(-0.5\right)\cdot \:9+b

24.5=\left(-0.5\right)\cdot \:9+b

-4.5+b=24.5

b=29

\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=-0.5\mathrm{\:and\:}\mathbf{b}=29

y=-0.5x+29

Now plug in x=21, we get

y=-0.5*21+29=18.5

Thus the height of the candle after 21 hours is 18.5 centimeters.

7 0
3 years ago
I NEED HELP ASAP
DIA [1.3K]

Answer:

y = \frac{3}{2} x + 13

Step-by-step explanation:

1) Use point-slope formula y-y_1 = m (x-x_1) to find the slope-intercept form (or y = mx + b form) of the equation. m represents the slope, and x_1 and y_1 represent the x and y values of a point the line intersects. So, substitute \frac{3}{2} for m, -4 for x_1, and 7 for y_1. Then, simplify and isolate y on the left side like so:

y-(7) = \frac{3}{2} (x - (-4)) \\y -7 = \frac{3}{2} (x + 4) \\y - 7 = \frac{3}{2} x + 6\\y = \frac{3}{2} x + 13

3 0
3 years ago
Can someone please help me?:\
katrin [286]

The circumference of the top of the cake is 9.5\pi\approx29.845 in.

It sounds like the baker is trying to line the circumference with cherriesto fit as many as possible along the border, like in the picture I've attached below.

This comes down to dividing the cake's circumference by the diameter of each cherry:

\dfrac{9.5\pi}{0.75}\approx39.79

or about 39 cherries, making the answer D.

7 0
3 years ago
I need help with this its confusing me too much
Ann [662]
Answer:

Step-by-step explanation:

Join A and C and B and D. And add numbers to the angles formed on one of the diagonal
In triangles ABC and ADC,
Angle 1 = Angle 4
Angle 3 = Angle 2
AC = AC
Therefore, triangle ABC=ADC
Since, ABC=ADC
Similarly, triangle ABD= triangle CDB
Therefore, AB=CD and BC=DA
7 0
2 years ago
I definitely need help, big time. What's the step by step solution to this math problem -(80/-10)^2?
mojhsa [17]
The final answer is -64
6 0
3 years ago
Read 2 more answers
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